This article is from the The Simpsons FAQ, by Ondre Lombard wakkojr@nospam.wcat.com and Andrew Gill superluser@mail.rit.edu with numerous contributions by others.
No, many of the characters are indeed left-handed. This is because MG is
infact left-handed himself. Viewers with eagle eyes may notice that this
is not always consistent however, especially in later episodes.
 
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